SSC CGL 2024 Tier-I · 13 September 2024, Shift 2 · Quantitative Aptitude · Question 23 of 99

Text as printed on a candidate's response sheet for this shift; answer per SSC's tentative key as marked on that sheet. Solution last reviewed 10 September 2026.

Where this paper and its answers come from

SSC does not publish CGL question papers or a public answer key. The questions and options here are reproduced as printed on a candidate's own response sheet for this shift — the Commission's text, unchanged. Each answer is SSC's tentative key as marked on that sheet; SSC allowed challenges to it and never publishes a final key. The solutions are written by UnlockIAS.

The given pie-chart shows the percentage distribution of runs scored by a batsman in a test innings. Study the chart and answer the question that follows. If the batsman has scored a total of 440 runs, how many runs did he score by hitting fours?

(a)224
(b)172
(c)132
(d)88

Answer

Why

Correct — C. Read the slice before the sum: the Fours sector of the pie chart is the yellow one, labelled 30%, and the chart distributes runs scored, not deliveries.

1% of the innings = 440 ⁄ 100 = 4.4 runs
Fours = 30 × 4.4
= 132 runs → option (c)

Sanity check: the five sectors read 25 + 20 + 15 + 30 + 10 = 100, so the chart is complete and 30% is genuinely the largest slice.

Why the others are wrong

(a)
224 — 224 is not a figure this chart can produce. Every sector is a whole multiple of 5%, and 5% of 440 is 22 runs, so any sector or group of sectors is a multiple of 22 — and 224 is not.
(b)
172 — 172 fails the same test: 22 × 7 = 154 and 22 × 8 = 176, so no slice or combination of slices totals 172 runs.
(d)
88 — 88 is a real figure from this chart, but it is the Twos sector — 20% of 440. The Fours sector is the 30% one, worth 132 runs.

Concept

A pie chart hands you percentages and the stem hands you the whole, so one multiplication finishes the job. Fix the unit first: 1% of 440 = 4.4 runs, and every sector is its percentage times 4.4.

Two readings are being tested at once. Fours names the sector, and the chart's own title says it distributes runs scored — so 132 is a number of runs, not a number of boundaries. Those 132 runs would be 33 fours.

The five sectors sum to 100%, which is the check to run before trusting any single one of them.

The chart labels the slices but not the values, and the legend is colour-coded, so the sector must be matched by colour before the arithmetic starts. Fours is the yellow 30% slice; Twos is the orange 20% one.

Key facts

The chart reads Ones 25%, Twos 20%, Threes 15%, Fours 30%, Sixes 10%, totalling 100%.
On a 440-run innings, 1% is 4.4 runs and 5% is 22 runs.
Fours: 30% of 440 = 132 runs.
Because every sector is a multiple of 5%, every legitimate answer is a multiple of 22 runs.

Study next

Converting pie-chart percentages to values using a single 1% unitCentral angle of a sector, found as percentage × 3.6 degreesRatio questions between two sectors, where the total cancels out

Common traps

Answering the number of fours rather than the runs those fours produced.
Matching the legend to the wrong colour, and taking 20% instead of 30%.
Carrying the same total into a follow-up question that changes the innings figure.

SSC prints the chart in percentages and puts the total in the stem, then asks for something a step or two past reading one slice.

At 12 Sep 2024, 12:30, Quant Q.6 (20,000 employees) you read department D's sector and then take 70% of it for the male count. At 24 Sep 2024, 16:00, Quant Q.21 (240 blood donors) it is a ratio across four sectors, and the printed total cancels out.

Quant Q.17 of this paper reads a table and Quant Q.1 a graph the same way: identify the row or slice first, then compute.

Related PYQs

No directly related past PYQ was found.